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Lettere al Nuovo Cimento (1971-1985)

, Volume 44, Issue 1, pp 40–42 | Cite as

On nonlocal transformations

  • W. I. Fushchich
  • W. M. Shtelen
Article
  • 20 Downloads

Summary

A procedure of finding finite transformations generated by a linear arbitrary-order differential operator is presented. Dirac equation is shown to be Galilei invariant with the nonlocal law of transformation of the Ψ-function.

PACS

11.30 Symmetry and conservation laws 

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References

  1. (1).
    R. L. Anderson andN. H. Ibragimov:Lie-Bäcklund Transformations in Applications (Philadelphia, Pa., 1979), p. 150.Google Scholar
  2. (2).
    W. I. Fushchich: inGroup-Theoretic Methods in Mathematical Physics (Mathematical Institute, Kiev, 1978), p. 5 (in Russian).MATHGoogle Scholar
  3. (3).
    W.I. Fushohich andA. G. Nlkitin:The Symmetry of Maxwell Equations (Naukova dumka, Kiev, 1983) (in Russian).Google Scholar
  4. (4).
    W. I. Fushchich andW. M. Shtelen:Dokl. Akad. Nauk USSR,269, Nl, 88 (1983) (in Russian).MathSciNetGoogle Scholar
  5. (5).
    W.I. Fushchich andW. M. Shtelen:J. Phys. A,16, No. 2, 271 (1983).MathSciNetADSCrossRefGoogle Scholar
  6. (6).
    W.I. Fushchich andW. M. Shtelen:Lett. Nuovo Cimento,34, No. 16, 498 (1982).MathSciNetCrossRefMATHGoogle Scholar
  7. (7).
    W. I. Fushchich andW. M. Shtelen:Lett. Nuovo Cimento,38, No. 2, 37 (1983).MathSciNetCrossRefGoogle Scholar
  8. (8).
    W.I. Fushchich andW. M. Shtelen:Phys. Lett. B,128, No. 3, 4, 215 (1983).MathSciNetGoogle Scholar

Copyright information

© Società Italiana di Fisica 1985

Authors and Affiliations

  • W. I. Fushchich
    • 1
  • W. M. Shtelen
    • 1
  1. 1.Mathematical InstituteKiev, 4USSR

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